Precision positioning apparatus



Nov. 16, 1965 J.K. SAZAVSKY PRECISION POSITIONING APPARATUS 5 Sheets-Sheet 1 Filed 001;. 11, 1962 o daemon? Kwzwm 1 INVENTOR BY m 3 ATTORNEY Nov. 16, 1965 J. K. sAzAvsKY PRECISION POSITIONING APPARATUS 5 Sheets-Sheet 2 Filed Oct. 11. 1962 i Q @kg Nov. 16, 1965 J. K. SAZAVSKY PRECISION POSITIONING APPARATUS 6 Sheets-Sheet 3 Filed 001;. 11, 1962 Nov. 16, 1965 J. K. SAZAVSKY 3,218,108

PRECISION POS ITIONING APPARATUS Filed Oct. 11, 1962 5 Sheets-Sheet 4 NNNNNN OR v Nov. 16, 1965 J, K s z vs 3,218,108

PRECIS ION POS ITIONING APPARATUS Filed Oct. 11, 1962 5 Sheets-Sheet 5 FIG. 6

J/QEOM/E hffz/i ff INVENTOR ATTORNEY 3,218,108 PRECISION POSITIONING APPARATUS Jaromir K. Sazavsky, Des Plaines, Ill., assignor to Link Division of General Precision, Inc., Binghamton, N.Y., a corporation of Delaware Filed Oct. 11, 1962, Ser. No. 229,802 5 Claims. (Cl. 308-5) This invention relates to a precision positioning apparatus and more particularly to an improved instrument positioning apparatus which provides rapid and accurate transverse and longitudinal motion with extreme accuracy.

A large number of positioning devices have been developed wherein a work surface is accurately moved with respect to a predetermined reference marker or line. By way of example, in photogrammetry, in order to measure and determine the coordinates of various photographed objects with respect to a base line or index marker, it is generally desired to move a table carrying a photograph so as to position selected objects in the photograph under the reference markers in a stationary viewing system. In order to determine the coordinates of the photographed objects with extreme accuracy, it will be understood that the table conveying the photograph must be moved, positioned, and then maintained in a fixed location with a high degree of precision.

Traditional designs for positioning devices, generally, include a moveable table of sufiicient mass to provide the necessary rigidity and dimensional stability. However, the corresponding weight of the moveable table frequently results in frictional forces which interferes with the required accurate positioning. In order to ensure that such a table moves precisely in a desired direction, it usually has been necessary to provide rollers and precision guideways of specially stabilized materials which are carefully selected not only for strength and hardness characteristics but also for compatible thermal coeflicients of expansion, all of which tends to increase the frictional forces imposed on the table. Further, note should be made of the fact that when such a table is positioned by a motor or similar device, the presence of static friction maintains the table immobile until the motor drive force at least exceeds the static friction force. In this manner, the precision or accuracy to which the table can be positioned is a function of the amount of static friction present in the system. Although such friction forces may not be of prime importance in certain applications, such friction forces drastically interfere with positioning systems wherein precise and accurate positioning of the table, to any location within the range of the system, is required.

In order to overcome the problems imposed by static friction, such devices as machine tool tables and the like have been designed with fluid bearings. In these devices, a gas, such as air or nitrogen, under pressure, is directed so that the table top is suspended by the gas a minute distance from the base member. Since metal-to-metal contacts are eliminated, static friction forces are markedly reduced. In general, machine tool tables and the like incorporating fluid bearings, employ relatively high fluid pressure, 100 pounds per square inch or greater, to oppose not only the weight of the moveable table but also to resist the large forces applied thereto by cutting tools and the like. Additionally, such tables feature pressures within the bearing cavities or pads, that is, the volume wherein the fluid pressure itself is effective to maintain separation between the moveable surfaces, at a value sufficient to support the maximum design load together with a safety factor, and as a result the cavity pressure is about 75% of the supply pressure. Further, the conduits or passageways which couple the fluid supply to the cavities exhibit as small an inner diameter, consistent with the table requirements, as possible, in order to minimize the amount of fluid expended. That is, high pressure-low volume fluid flow is desired. Again, in order to minimize air leakage, the cavities in such load-bearing tables are conventionally designed with either essentially square or circular cross-sections to provide a minimum cavity perimeter for the required pad area.

According to the invention, however, there is provided an improvement precision positioning apparatus which also incorporates fluid bearings as a means to eliminate static friction. Further, the apparatus of the invention includes novel fluid supply means wherein two independent orthogonal motions are provided without the necessity of employing flexible conduits or passageways in order to conduct the fluid to the Working area. Additionally, as will be understood from the detailed description of a specific embodiment which follows, the fluid bearings which form a portion of this invention differ markedly from the fluid bearings of the prior art. By way of example, relatively low fluid pressures of about 5 to 10 pounds per square inch are utilized. Also, the conduit diameter is relatively large in order to attain an increased volume of fluid flow. Additionally, a novel time constant is determined, which is defined as the ratio between the volume of the cavities and the flow of air therethrough. Finally, note should be made of the fact that the cavity perimeters are basically as large as possible. The combination of the above and other features of the fluid bearings of the invention provide an improved precision positioning apparatus which is automatically selfleveling against eccentric loading, self-cleaning, automatically self-height adjusting, and offers essentially zero static friction.

Briefly, the apparatus of the invention includes a rigid support member and a first table or deck portion adjacent the upper surface thereof. Drive means are provided to impart transverse linear motion to the first table which is separated from the support member by the novel fluid bearings hereinafter described. A second table or deck portion is positioned adjacent the upper surface of the first table and independent drive means are provided for the second table to impart longitudinal motion, with respect to the support member, thereto. Also, the second table is spaced from the first table by additional fluid bearings. In this manner, the work surface, or upper surface of the second table is accurately and precisely positioned to any location Within the range of the apparatus.

It is an object of the invention to provide an improved precision positioning apparatus.

Another object of the invention is to provide an improved precision positioning apparatus in which the positioning of the work surface is maintained to a degree of linearity greater than that provided by traditional rollers and precision guide-ways.

A related object of the invention is to provide improved fluid bearings for use in a precision positioning apparatus.

A further object of the invention is to provide a multitable precision positioning apparatus employing improved fluid bearings between the tables and between the lower table and the support member, wherein the fluid is supplied to all of the bearings without the interposition of hoses, or other flexuous supply means.

Still another object of the invention is to provide a precision position apparatus which provides high precision linear motion in each of two orthogonal directions.

Yet another object of the invention is to provide an improved precision positioning apparatus incorporating a fluid bearing system without the use of O-n'ngs or other sealing devices.

The invention will best be understood from the follow- '3 ing description of a specific embodiment thereof taken together with the accompanying drawings in which:

FIG. 1 is a pictorial view of an embodiment of the invention;

FIG. 2 is a cross-sectional side view of the apparatus of FIG. 1, taken along the lines FIG. 2FIG. 2;

FIG. 3 is a cross-sectional front view of the apparatus of FIG. 1, taken along the lines FIG. 3FIG. 3;

FIG. 4 is a partial sectional view of a portion of the lower surface of the first table of the apparatus of FIG. l;

FIG. 5 is a pictorial representation of the first table of the apparatus of FIG. 1, and

FIG. 6 is a pictorial representation of the second table and the guide-ways therefor of the apparatus of FIG. 1.

Referring now to the drawings, FIG. 1 illustrates one embodiment of the invention. As there shown, a precision positioning apparatus 11 is comprised of three main units, a support member 12, positioned upon a base 11, a first table 14, and a second table 16. Supported upon the upper surface of table 16 is a rotatable circular workpiece holder 18. As will be understood as the descrip tion proceeds, table 14 is mounted for translation in the direction indicated by the line XX, and table 16 is mounted for translation in the direction indicated by the line Y-Y, wherein the line YY is perpendicular to the line XX. In this manner, any point on a workpiece mounted in holder 18 may be accurately positioned to any location within the range of apparatus 10, as tables 14 and 16 are translated and holder 18 is rotated.

Specifically, support member 12 is provided with a pair of parallel guide-ways 20 and 22 within which table 14 is mounted. Motion is imparted to table 14 through a tape 24, one end of which is attached to table 14 at 26. Tape 24 is passed around several pulleys 28 mounted on support member 12, around a drive capstan 36, the other end of tape 24 being secured to table 14 (not shown). A drive motor 32, also rigidly mounted on member 12, is mechanically linked to drive capstan 30. Operation of motor 32 is thus eflective to translate table 12 in the XX direction.

Table 14 is also provided with a pair of parallel guide- Ways 34 and 36 within which table 16 is mounted. Motion is imparted to table 16 in a manner similar to that of table 14. A tape 38, one end of which is attached to table 16 at 41), is passed around several pulleys 42 mounted on table 14, around a drive capstan 44, the other end of tape 38 being secured to table 16 (not shown). A drive motor 46, also rigidly mounted on table 14, is mechanically linked to drive capstan 44. Operation of motor 46 is thus effective to translate table 14 in the Y-Y direction. Workpiece holder 18 is rotatably mounted on table 16 by means of bearings 48 (see FIGS. 2 and 3). A drive motor 50, mounted on table 16, is mechanically linked to holder 18-. Operation of motor 50 is thus effective to rotate holder 18.

Although only a single drive system has been illustrated and described, it should be apparent that many other types of drive systems could be employed in the apparatus of the invention, provided only that the drive system does not disturb the straightness of travel achievable with the tables. For this reason, the drive system will neither be described nor illustrated in the further description of the invention in order that other features of the invention will be more clearly understood.

Returning again to the drawings, FIGS. 2 and 3 are cross-sectional views of the embodiment of the precision positioning apparatus 1! taken along the lines FIG. 2 FIG. 2 and FIG. 3FIG. 3, respectively, as indicated in FIG. 1. Support member 12 comprises an essentially rectangular plate portion having suflicient mass to provide rigidity for apparatus 10. Guide-Ways 2t and 22 (see FIG. 2) extend along opposite edge portions of support member 12 and are rigidly secured thereto by means of screws, bolts, or the like, in a similar manner guide-ways 34 and 36 (see FIG, 3) are rigidly secured along opposite edge portions of table 14. Note should be made of the fact that it is not necessary to accurately machine the inner surfaces of the guide-ways in order to obtain precision positioning of the workpiece. This results because the fluid film which maintains clearance between the moving tables and the fixed guide-ways acts to average out slight irregularities which are unavoidably present in physically contacting surfaces. This averaging effect is so elfective that the aparatus of the invention incorporating guide-ways finished to rough grinding tolerances, exhibits straightness of travel of the workpiece holder in the order of a few microinches.

Fluid for operation of the novel bearings is supplied from a fluid supply source 52 along a conduit which may be rigid or fixed, to an opening 56 in and through support member 12. Positioned above opening 56 is a longitudinal slot 58 in the lower surface of table 14, which extend along the XX direction a major portion of the length of table 14. Slot 58 is nominally several ten thousandths of an inch in depth and is etfectively sealed by support member 12. In this manner fluid is delivered to table 14 independent of its position relative to support member 12. From slot 53 fluid is supplied to the vertical bearings of table 14 which maintain separation between table 14 and support member 12, to the horizontal bearings of table 14 which maintain separation between table 14 and guide-ways 2t and 22, to the vertical bearings of table 16 which maintain separation between table 14 and 16, and to openings in guide-ways 34 and 36 to thereafter supply fluid to the horizontal bearings of table 16 to maintain separation between table 16 and guide-ways 34 and 36, and it may be seen that the division of the pressurized fluid supplied from slot 58 to the various vertical and horizontal bearings through the parallel conduits shown, in FIGS. 2 and 3 for example, results in a marked reduction in bearing fluid pressure as compared with the pressure supplied by source 52. Each of these elements is coupled to slot 58 by means of internal rigid conduits located within table 14 andguide-Ways 34 and 36. In this manner, fluid is supplied to all of the bearings of tables 14 and 16, wherein each of the tables are inde* pendently mobile, Without the use of flexible hoses or the like which would tend to skew the table motion as a result of the frictional drag imparted thereby.

In the following description of the rigid fluid conduits of the apparatus of the invention, which provide for the elimination of all flexible hoses, reference should also be had to FIGS. 4, 5, and 6, as necessary, which are an expanded partial sectional view of table 14, and a pictorial representation of table 14 and 16, respectively. Extending from slot 58 is a first conduit 64) which terminates in a multiple T junction 62. A further conduit 64 is coupled to junction 62 and terminates in an orifice 66 located in cavity 68 (see FIGS. 2 and 5). Cavity 68 together with guide-way 20 forms a first horizontal bearing for table 14, the specific design requirements thereof being hereinafter more completely described. Another horizontal bearing for table 14 is formed by cavity 70 and guide-way 22. ity 711 by means of a conduit 72, coupled to junction 62, a T junction 74, and an orifice 76. A further pair of horizontal bearing pads for table 14, 84- and 86, are also supplied with fluid in a similar manner. Again, coupled to junction 62 is yet another conduit 84! terminating in orifice 32 within pad 84 (see FIG. 5). Additionally, pads 84 and 86 are likewise supplied with fluid from junction 74.

Continuing, fluid is supplied to the vertical bearings of table 14 from junction 74. A conduit 86, coupled thereto, is connected to another T junction 88, and a pair of conduits 9t and 92 coupled to junction $8 terminate in orifices 94 and 96, respectively, by means of a pair of intermediate T junctions 95 and 97, thereby'supplying fluid to vertical bearing pads 98 and Again, in a. similar manner, further conduits coupled to junction; 14

(See FIG. 2.) Fluid is supplied to cavt terminate in orifices 102 and 104 (see FIG. 5) to supply vertical bearing pads 106 and 108 with the necessary fluid. It should now be understood that each of the four horizontal and each of the four vertical fluid bearings of table 14 are continuously supplied with the necessary fluid pressure by rigid conduit means self-contained within table 14 itself, and this fluid supply means is effective independent of the position of table 14 with respect to support member 12 as a result of the action of slot 58 of table 14 cooperating with conduit 56 of support member 12.

The bearings of table 16, the motion of which is independent of support member 12 and table 14, are supplied with fluid by means external of table 16. Referring again now to FIG. 4, from junctions 95 and 97, still another pair of conduits, 114 and 116, coupled thereto, supply fluid to a pair of orifices 118 and 120 in the upper surface of table 14. These orifices, which of course are concealed in FIG. 1, are positioned so that they are effective to supply fluid to vertical bearings 122 and 124 of table 16 (see FIG. 6). Note should be made of the fact that the parallel overlapping arrangement of bearings 122 and 124 provides for maximum motion of table 16 with respect to table 14 yet maintaining continuous fluid supply to bearings 122 and 124. It should also be understood that the remaining pair of vertical bearings of table 16, that is bearings 126 and 128, are likewise supplied with fluid from a pair of orifices positioned in the upper surface of table 14.

In order to supply fluid to the horizontal bearings of table 16 a further novel means is provided in order to eliminate the necessity of flexible hoses or the like. Referring once more to FIG. 4, yet another conduit 130 is coupled to junction 88 which terminates in an orifice 132 positioned in the side wall of table 14 (see FIG. 3). As hereinabove noted, guide-way 36 is rigidly secured to table 14, and, referring now to FIG. 6, positioned in guide-way 36 is an orifice 134 which is located contiguous with orifice 132 of table 14 to thereby conduct fluid from table 14 into and through guide-way 36. An internal conduit in guide-way 36 couples fluid from orifice 134 to a pair of orifices 136 and 138 thereby supplying fluid to horizontal bearings 140 and 142 of table 16. In a similar manner the remaining pair of horizontal bearings are supplied with fluid by means of a pair of orifices in guide-way 34. In summary then, it should now be understood that fluid is supplied to the horizontal and vertical bearings of table 14 by means of rigid conduits located within table 14 itself, and fluid is supplied to the bearings of table 16 by means external to table 16, the vertical bearings being supplied by orifices in table 14 and the horizontal bearings by orifices in guide-ways 34 and 36. Note should also be made of the fact that fluid is also supplied internally to table 14 again by rigidly positioned conduits and a lengthwise slot. Important to note is the fact that all flexible fluid couplings and the like have been completely eliminated by the novel fluid supply means in order to prevent any skew of frictional drag to be developed by such couplings yet maintaining the advantages afforded by fluid hearings in a precision positioning apparatus which exhibits two independent directions of motion for the workpiece.

Further, although the generic term fluid has been employed throughout the above description of one embodiment of the invention to indicate that a liquid or gas is useful in the operation of the apparatus of the invention,

it will be apparent to those skilled in the art that air is,

generally preferred. In the following specific description of the bearings of the invention it will be understood that air is so employed unless otherwise indicated.

Generally, fluid bearings, according to the prior art, include design characteristics particularly adapted for use in sustaining relatively heavy leads, and several of these characteristics are far from optimum in the design of fluid bearings for use in a precision positioning apparatus.

Specifically, the periphery, B, of the bearing cavity, or pad, is generally minimized in order to lessen the leakage of the supplied fluid, while the area of the cavity is maximized in order to generate large lifting forces from the available fluid supply pressure. Thus, the load carrying fluid bearings of the prior art, While capable of supporting heavy loads with as little friction as possible, are severely lacking in the advantageous averaging efiect provided by the fluid bearings of this invention. Averaging effect, as used in this specification is defined in terms of the improvement provided by the novel fluid bearings wherein the maximum linearity of travel of a table supported above a base is considerably greater than the linearity of the guide-ways within which it rides. It has been determined that optimum averaging effect is obtained when the cavity periphery, B, to cavity area, A, ratio, that is B/A, is within the range 1.2:1 to 15:1. It is obvious to those skilled in the art, that this preferred B/A ratio results in a considerably greater rate of fluid leakage than would be tolarable in the heavy load bearings of the prior art. Additionally, several additional parameters must also be properly selected in order to obtain optimum performance of the precision positioning apparatus of the invention. Thus, the ratio of the area of the vertical bearing pads to the overall traveled surface is about 1:8 and the ratio of the area of the horizontal bearing pads to the overall traveled surface is about 1:3. Further, the ratio of pad volume to the rate of fluid flow per second is at least 10:1. Continuing, in order to supply the inherently high rate of leakage as determined by the pad design, the fluid supply conduits must be of significantly greater diameter than that which has generally been employed in prior art. The larger diameter conduits result, therefore, in a higher degree of coupling between the fluid supply means and the cavities supplied thereby. Again, for increased stability the pressure diflerence between the fluid supply means and the pad is relatively large in order to maintain suflicient reserve pressure for additional lift, which is obtained by coupling a number of fluid conducting hearings in parallel and thence in series through a single conduit to the fluid supply means, while the pressure difference between the pad and the volume exhausted into, which normally is atmospheric, is relatively small.

A typical table incorporating the above design features carries 10 pounds of load with a system air pressure of below 2 oz. gauge and with flow rates well below 1 cubic inch per second. The same table is capable, at approximately 10 p.s.i. gauge pressure, of supporting 250 pounds with a table area dimension of 10 by 10 inches. Actual tests on such a table indicate deviations from straight line travel of as little as $0.1 micron over a range of ten inches. Additionally, the table is extremely resistant to eccentric loading and does not require close tolerance machining. Separation of the table from the support and guide-ways is generally less than 0.0005 inch. This small separation distance combined with the selectively small pressure drop between the pad and exhaust volumes results, essentially, in a large amount of effective negative feedback stability being present in the system, such that when the system tends to tilt as a result of eccentric loading or other impulses; the restoring spring constant of the fluid film automatically ensures an extremely high restoring and damping coefiicient. The restoring time constant, which is determined by the ratio of pad volume to the rate of fluid flow, is approximately 0.1 second or less for a table designed according to the parameters listed above.

Note should be made of the fact that the precision positioning apparatus of the invention provides extremely linear and accurate motion in each of two orthogonal directions, and in order to precisely determine the actual longitudinal positioning of each table to within one micron or less, it is necessary to provide an additional precision position measuring device such as an interferometer or 7 the like. However, such devices are well known to those skilled in the art and will not further be described in this specification.

Finally, note should also be made of the fact that problems of Wear in the guideways are essentially ended by the elimination of direct physical contact with the guide- Ways. The clearance is maintained, as will be understood by those skilled in the art, both during translation of the table and also when the table is at rest as a result of the novel fluid bearings. This application is related to the invention disclosed and claimed in copending application Serial No. 229,962, filed October 11, 1962, now Patent No. 3,155,383 issued November 3, 1964, for Precision Positioning Apparatus on behalf of John H. Whitmore and assigned to the assignee of this invention.

While the invention has been shown and described with respect to a single embodiment, it will be understood that various changes and modifications may be made therein without departing from the spirit of the invention, and it is intended therefore only to be limited by the scope of the following claims.

What is claimed is:

1. A precision position apparatus comprising,

(a) first and second tables and a support member;

(b) means positioning said first table adjacent an upper surface of said support member and said second table adjacent an upper surface of said first table, including at least first and second parallel guide-ways located in juxtaposition with a pair of opposite side surfaces of each of said first and second tables;

(c) first and second drive means for imparting transverse and longitudinal motion to said first and second tables, respectively;

(d) each of said tables including a plurality of fluid bearings, a first group of said plurality of fluid bear ings being located on the lower surface of said table and a second group of said plurality of fluid bearings being located on said pair of opposite side surfaces which are in juxtaposition with said first and second guide-ways;

(e) means supplying pressurized fluid to all of said plurality of bearings, including means wholly positioned Within said first table and means wholly positioned without said second table; and

(i) all of said plurality of fluid bearings included with said second table being arranged in parallel partiallyoverlapping pairs to provide for maximum displacement of said second table with respect to said first table.

2. The apparatus of claim 1 wherein all of said plurality of fluid bearings exhibits effective negative feedback stability to eccentric loading by limiting the fluid pressure drop between said bearings and the volume exhausted into to about 20% of the fluid pressure from said supplying means.

3. A precision positioning apparatus comprising in combination:

(a) first and second tables and a support member;

(b) means positioning said first table adjacent an upper surface of said support member and said second table adjacent an upper surface of said first table including at least first and second pairs of parallel guideways located in juxtaposition With opposite side surfaces of each of said first and second tables;

(c) first and second drive means for imparting transverse and longitudinal motion to said first and second tables, respectively;

(d) each of said tables including a plurality of fluid bearings and means positioning a first group of said plurality of fluid hearings on said opposite side surfaces and a second group of said plurality of fluid hearings on a lower surface thereof;

(e) each of said fluid bearings having a cavity wherein the ratio of cavity periphery to cavity area is Within the range 1.211 to 1.521, the ratio of the area of each of said first group of said plurality of fluid hearings to the over-all traveled surface is about 1:8, and the ratio of the area of each of said second group of said plurality of fluid bearings to the overall traveled surface is about 1:3;

(t) a source of pressurized fluid, said fluid being maintained at said source at a pressure Within the range of 5 to 10 pounds per square inch;

(g) means coupling said source to all of said plurality of fluid bearings; and

(11) said last named means being further effective to maintain the ratio of fluid flow per second to the volume of said cavities at least 1:10.

The apparatus of claim 3 wherein said over-all travel is 10 inches and said plurality of fluid bearings are efl'ective in combination to maintain deviations from straight line travel to within about :0.1 micron.

5'. The apparatus of claim 3 wherein each of said tables exhibits an operative area dimension of 10 by 10 inches, said pressurized fluid is air maintained at said source at 10 pounds per square inch, and said table is capable of supporting a load of 250 pounds.

References Eited by the Examiner UNITED STATES PATENTS 2,520,129 8/1950 Dall et a1. 184-6 2,520,879 8/1950 Dall. 2,931,268 4/1960 Gelb 88-24 3,052,174 9/1962 Berger 88--24 X 3,053,583 9/1962 Shaw 308-9 FOREIGN PATENTS 550,738 12/1957 Canada.

DON A. WAiTE, Primary Examiner.

ROBERT C. RTORDON, Examiner. 

1. A PRECISION POSITION APPARATUS COMPRISING, (A) FIRST AND SECOND TABLES AND A SUPPORT MEMBER; (B) MEANS POSITIONING SAID FIRST TABLE ADJACENT AN UPPER SURFACE OF SAID SUPPORT MEMBER AND SAID SECOND TABLE ADJACENT AN UPPER SURFACE OF SAID FIRST TABLE, INCLUDING AT LEAST FIRST AND SECOND PARALLEL GUIDE-WAYS LOCATED IN JUXTAPOSITION WITH A PAIR OF OPPOSITE SIDE SURFACES OF EACH OF SAID FIRST AND SECOND TABLES; (C) FIRST AND SECOND DRIVE MEANS FOR IMPARTING TRANSVERSE AND LONGITUDINAL MOTION TO SAID FIRST AND SECOND TABLES, RESPECTIVELY; (D) EACH OF SAID TABLES INCLUDING A PLURALITY OF FLUID BEARINGS, A FIRST GROUP OF SAID PLURALITY OF FLUID BEARINGS BEING LOCATED ON THE LOWER SURFACE OF SAID TABLE AND A SECOND GROUP OF SAID PLURALITY OF FLUID BEARINGS BEING LOCATED ON SAID PAIR OF OPPOSITE SIDE SURFACES WHICH ARE IN JUXTAPOSITION WITH SAID FIRST AND SECOND GUIDE-WAYS; (E) MEANS SUPPLYING PRESSURIZED FLUID TO ALL OF SAID PLURALITY OF BEARINGS, INCLUDING MEANS WHOLLY POSITIONED WITHIN SAID FIRST TABLE AND MEANS WHOLLY POSITIONED WITHOUT SAID SECOND TABLE;AND (F) ALL OF SAID PLURALITY OF FLUID BEARINGS INCLUDED WITH SAID SECOND TABLE BEING ARRANGED IN PARALLEL PARTIALLYOVERLAPPING PAIRS TO PROVIDE FOR MAXIMUM DISPLACEMENT OF SAID SECOND TABLE WITH RESPECT TO SAID FIRST TABLE. 